On the gamma spectrum of multiplication gamma acts

Abstract EN

In this paper, we introduce the concept of topological gamma acts as a generalization of Zariski topology.

Some topological properties of this topology are studied.

Various algebraic properties of topological gamma acts have been discussed.

We clarify the interplay between this topological space's properties and the algebraic properties of the gamma acts under consideration.

Also, the relation between this topological space and (multiplication, cyclic) gamma act was discussed.

We also study some separation axioms and the compactness of this topological space.